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Tatiana [17]
2 years ago
6

A family dinner check was $38.82. Estimate a 15% tip

Mathematics
1 answer:
Radda [10]2 years ago
6 0

Answer:

$5.82

Step-by-step explanation:

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To join a video rental club, a member pays an initial fee plus an additional monthly cost. The equation below describes the rela
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Value of t? 1.4t — 0.4 (t — 3.1) = 5.8
IceJOKER [234]

Hi!

<h3>Use the distribution property</h3>

1.4t — 0.4 * t - 0.4 * —3.1 = 5.8

1.4t — 0.4t - 1.24 = 5.8

<h3>Simplify</h3>

1t - 1.24 = 5.8

<h3>Add 1.24 to both sides</h3>

1t - 1.24 + 1.24 = 5.8 + 1.24

1t = 7.04

<u>t = 7.04</u>

<h2>The answer is t = 7.04</h2>

Hope this helps! :)

-Peredhel

6 0
2 years ago
Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.
olasank [31]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-5, 15) and (20, 25). substitute:

m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85

Answer:

point-slope form: y-15=\dfrac{2}{5}(x+5)

slope-intercept form: y=\dfrac{2}{5}x+17

standard form: 2x-5y=-85

7 0
3 years ago
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